102849264 has 120 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 29377728.

The previous prime is 102849259. The next prime is 102849277. The reversal of 102849264 is 462948201.

102849264 is a `hidden beast` number, since 102 + 8 + 492 + 64 = 666.

It is a super-2 number, since 2×102849264² = 21155942210683392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25327 + ... + 29105.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^102849264 is an apocalyptic number.

102849264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102849264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

102849264 is an abundant number, since it is smaller than the sum of its proper divisors (238378896).

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

102849264 is an equidigital number, since it uses as much as digits as its factorization.

102849264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 102849264 is about 10141.4626164080. The cubic root of 102849264 is about 468.5260357291.

The spelling of 102849264 in words is "one hundred two million, eight hundred forty-nine thousand, two hundred sixty-four".