105937040 has 40 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 38522240.

The previous prime is 105937021. The next prime is 105937061. The reversal of 105937040 is 40739501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×105937040³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105936994 and 105937012.

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, 59312 + ... + 61071.

Almost surely, 2^105937040 is an apocalyptic number.

105937040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105937040 is an abundant number, since it is smaller than the sum of its proper divisors (162760048).

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

105937040 is a wasteful number, since it uses less digits than its factorization.

105937040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120407 (or 120401 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 105937040 is about 10292.5720789315. The cubic root of 105937040 is about 473.1686305667.

The spelling of 105937040 in words is "one hundred five million, nine hundred thirty-seven thousand, forty".