105742504 has 32 divisors (see below), whose sum is σ = 231865920. Its totient is φ = 44263296.

The previous prime is 105742493. The next prime is 105742517. The reversal of 105742504 is 405247501.

It is a super-2 number, since 2×105742504² = 22362954304380032, 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19549 + ... + 24364.

It is an arithmetic number, because the mean of its divisors is an integer number (7245810).

Almost surely, 2^105742504 is an apocalyptic number.

105742504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105742504 is an abundant number, since it is smaller than the sum of its proper divisors (126123416).

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

105742504 is a wasteful number, since it uses less digits than its factorization.

105742504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43969 (or 43965 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 105742504 is about 10283.1174261505. The cubic root of 105742504 is about 472.8788209019.

The spelling of 105742504 in words is "one hundred five million, seven hundred forty-two thousand, five hundred four".