102033840 has 80 divisors (see below), whose sum is σ = 323693568. Its totient is φ = 26573568.

The previous prime is 102033823. The next prime is 102033853. The reversal of 102033840 is 48330201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377 + ... + 15263.

Almost surely, 2^102033840 is an apocalyptic number.

102033840 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 102033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161846784).

102033840 is an abundant number, since it is smaller than the sum of its proper divisors (221659728).

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

102033840 is a wasteful number, since it uses less digits than its factorization.

102033840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102033840 is about 10101.1801290740. The cubic root of 102033840 is about 467.2845375813.

The spelling of 102033840 in words is "one hundred two million, thirty-three thousand, eight hundred forty".