10506780 has 48 divisors (see below), whose sum is σ = 32689440. Its totient is φ = 2801664.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506780 is 8760501.

It is a super-2 number, since 2×10506780² = 220784851936800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9189 + ... + 10268.

It is an arithmetic number, because the mean of its divisors is an integer number (681030).

Almost surely, 2^10506780 is an apocalyptic number.

10506780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506780 is an abundant number, since it is smaller than the sum of its proper divisors (22182660).

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

10506780 is a wasteful number, since it uses less digits than its factorization.

10506780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19475 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10506780 is about 3241.4163570884. The cubic root of 10506780 is about 219.0230788213.

The spelling of 10506780 in words is "ten million, five hundred six thousand, seven hundred eighty".