105033840 has 40 divisors (see below), whose sum is σ = 325605648. Its totient is φ = 28008960.

The previous prime is 105033833. The next prime is 105033857. The reversal of 105033840 is 48330501.

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

It is a super-2 number, since 2×105033840² = 22064215090291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105033840.

It is a congruent number.

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, 218581 + ... + 219060.

Almost surely, 2^105033840 is an apocalyptic number.

105033840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105033840 is an abundant number, since it is smaller than the sum of its proper divisors (220571808).

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

105033840 is a wasteful number, since it uses less digits than its factorization.

105033840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437657 (or 437651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105033840 is about 10248.6018558631. The cubic root of 105033840 is about 471.8200741005.

The spelling of 105033840 in words is "one hundred five million, thirty-three thousand, eight hundred forty".