105451696 has 40 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 45099840.

The previous prime is 105451679. The next prime is 105451727. The reversal of 105451696 is 696154501.

It is a super-2 number, since 2×105451696² = 22240120378552832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96111 + ... + 97201.

Almost surely, 2^105451696 is an apocalyptic number.

105451696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105451696 is an abundant number, since it is smaller than the sum of its proper divisors (128533328).

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

105451696 is a wasteful number, since it uses less digits than its factorization.

105451696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105451696 is about 10268.9676209442. The cubic root of 105451696 is about 472.4449266270. Note that the first 3 decimals are identical.

The spelling of 105451696 in words is "one hundred five million, four hundred fifty-one thousand, six hundred ninety-six".