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105421392 = 2433793089
BaseRepresentation
bin1100100100010…
…01101001010000
321100100221222000
412102021221100
5203441441032
614243314000
72420031666
oct622115120
9240327860
10105421392
115456471a
122b37b900
1318ac132b
1410002c36
1593c5e7c
hex6489a50

105421392 has 80 divisors (see below), whose sum is σ = 306528000. Its totient is φ = 34684416.

The previous prime is 105421387. The next prime is 105421447. The reversal of 105421392 is 293124501.

It is a super-2 number, since 2×1054213922 = 22227339782435328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32584 + ... + 35672.

It is an arithmetic number, because the mean of its divisors is an integer number (3831600).

Almost surely, 2105421392 is an apocalyptic number.

105421392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105421392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153264000).

105421392 is an abundant number, since it is smaller than the sum of its proper divisors (201106608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105421392 is a wasteful number, since it uses less digits than its factorization.

105421392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105421392 is about 10267.4920014578. The cubic root of 105421392 is about 472.3996662747.

Adding to 105421392 its reverse (293124501), we get a palindrome (398545893).

The spelling of 105421392 in words is "one hundred five million, four hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3089 3792 4266 5688 6178 8532 9267 11376 12356 17064 18534 24712 27801 34128 37068 49424 55602 74136 83403 111204 148272 166806 222408 244031 333612 444816 488062 667224 732093 976124 1334448 1464186 1952248 2196279 2928372 3904496 4392558 5856744 6588837 8785116 11713488 13177674 17570232 26355348 35140464 52710696 105421392