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105450436 = 227132711069
BaseRepresentation
bin1100100100100…
…00101111000100
321100102102210201
412102100233010
5203443403221
614244100244
72420212450
oct622205704
9240372721
10105450436
1154584523
122b394684
1318b01610
141000d660
1593ce891
hex6490bc4

105450436 has 48 divisors (see below), whose sum is σ = 228175360. Its totient is φ = 41523840.

The previous prime is 105450379. The next prime is 105450451. The reversal of 105450436 is 634054501.

It is a super-2 number, since 2×1054504362 = 22239588905180192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98110 + ... + 99178.

Almost surely, 2105450436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105450436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114087680).

105450436 is an abundant number, since it is smaller than the sum of its proper divisors (122724924).

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

105450436 is a wasteful number, since it uses less digits than its factorization.

105450436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105450436 is about 10268.9062708742. The cubic root of 105450436 is about 472.4430449345.

The spelling of 105450436 in words is "one hundred five million, four hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 271 364 542 1069 1084 1897 2138 3523 3794 4276 7046 7483 7588 13897 14092 14966 24661 27794 29932 49322 55588 97279 98644 194558 289699 389116 579398 1158796 2027893 3766087 4055786 7532174 8111572 15064348 26362609 52725218 105450436