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105142452 = 223311791579
BaseRepresentation
bin1100100010001…
…01100010110100
321022211210022220
412101011202310
5203404024302
614233322340
72414460522
oct621054264
9238753286
10105142452
1154394098
122b2663b0
1318a2438c
14dd6d312
15936d4bc
hex64458b4

105142452 has 48 divisors (see below), whose sum is σ = 254822400. Its totient is φ = 33706080.

The previous prime is 105142451. The next prime is 105142463. The reversal of 105142452 is 254241501.

It is a super-2 number, since 2×1051424522 = 22109870425144608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142451) by changing a digit.

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, 65799 + ... + 67377.

It is an arithmetic number, because the mean of its divisors is an integer number (5308800).

Almost surely, 2105142452 is an apocalyptic number.

105142452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105142452 is an abundant number, since it is smaller than the sum of its proper divisors (149679948).

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

105142452 is a wasteful number, since it uses less digits than its factorization.

105142452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105142452 is about 10253.8993558548. The cubic root of 105142452 is about 471.9826492233.

Adding to 105142452 its reverse (254241501), we get a palindrome (359383953).

The spelling of 105142452 in words is "one hundred five million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 179 186 358 372 537 716 1074 1579 2148 3158 4737 5549 6316 9474 11098 16647 18948 22196 33294 48949 66588 97898 146847 195796 282641 293694 565282 587388 847923 1130564 1695846 3391692 8761871 17523742 26285613 35047484 52571226 105142452