102261536 has 24 divisors (see below), whose sum is σ = 216815004. Its totient is φ = 47197440.

The previous prime is 102261521. The next prime is 102261557. The reversal of 102261536 is 635162201.

It can be written as a sum of positive squares in 2 ways, for example, as 85451536 + 16810000 = 9244^2 + 4100^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122495 + ... + 123326.

Almost surely, 2^102261536 is an apocalyptic number.

102261536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102261536 is an abundant number, since it is smaller than the sum of its proper divisors (114553468).

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

102261536 is a wasteful number, since it uses less digits than its factorization.

102261536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245844 (or 245836 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 102261536 is about 10112.4446104787. Note that the first 3 decimals coincide. The cubic root of 102261536 is about 467.6318725846.

The spelling of 102261536 in words is "one hundred two million, two hundred sixty-one thousand, five hundred thirty-six".