102349104 has 240 divisors, whose sum is σ = 331121664. Its totient is φ = 26956800.

The previous prime is 102349099. The next prime is 102349109. The reversal of 102349104 is 401943201.

It is an interprime number because it is at equal distance from previous prime (102349099) and next prime (102349109).

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

It is not an unprimeable number, because it can be changed into a prime (102349109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766174 + ... + 2766210.

Almost surely, 2^102349104 is an apocalyptic number.

102349104 is the 5408-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102349104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165560832).

102349104 is an abundant number, since it is smaller than the sum of its proper divisors (228772560).

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

102349104 is a wasteful number, since it uses less digits than its factorization.

102349104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102349104 is about 10116.7733986682. The cubic root of 102349104 is about 467.7653144319.

The spelling of 102349104 in words is "one hundred two million, three hundred forty-nine thousand, one hundred four".