102435960 has 128 divisors (see below), whose sum is σ = 340277760. Its totient is φ = 24460800.

The previous prime is 102435959. The next prime is 102435961. The reversal of 102435960 is 69534201.

It is an interprime number because it is at equal distance from previous prime (102435959) and next prime (102435961).

It is a super-2 number, since 2×102435960² = 20986251802243200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102435961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93174 + ... + 94266.

It is an arithmetic number, because the mean of its divisors is an integer number (2658420).

Almost surely, 2^102435960 is an apocalyptic number.

102435960 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 102435960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170138880).

102435960 is an abundant number, since it is smaller than the sum of its proper divisors (237841800).

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

102435960 is a wasteful number, since it uses less digits than its factorization.

102435960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 102435960 is about 10121.0651613355. The cubic root of 102435960 is about 467.8975961203.

The spelling of 102435960 in words is "one hundred two million, four hundred thirty-five thousand, nine hundred sixty".