102849600 has 168 divisors, whose sum is σ = 385763008. Its totient is φ = 23500800.

The previous prime is 102849589. The next prime is 102849611. The reversal of 102849600 is 6948201.

It is an interprime number because it is at equal distance from previous prime (102849589) and next prime (102849611).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 32070 + ... + 35130.

Almost surely, 2^102849600 is an apocalyptic number.

102849600 is a gapful number since it is divisible by the number (10) 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 102849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192881504).

102849600 is an abundant number, since it is smaller than the sum of its proper divisors (282913408).

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

102849600 is a wasteful number, since it uses less digits than its factorization.

102849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102849600 is about 10141.4791820523. The cubic root of 102849600 is about 468.5265459404.

The spelling of 102849600 in words is "one hundred two million, eight hundred forty-nine thousand, six hundred".