102054015 has 72 divisors (see below), whose sum is σ = 212554368. Its totient is φ = 45118080.

The previous prime is 102053999. The next prime is 102054019. The reversal of 102054015 is 510450201.

It is not a de Polignac number, because 102054015 - 2⁴ = 102053999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102054019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67609 + ... + 69101.

It is an arithmetic number, because the mean of its divisors is an integer number (2952144).

Almost surely, 2^102054015 is an apocalyptic number.

102054015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102054015 is an abundant number, since it is smaller than the sum of its proper divisors (110500353).

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

102054015 is a wasteful number, since it uses less digits than its factorization.

102054015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102054015 is about 10102.1787254037. The cubic root of 102054015 is about 467.3153340447.

The spelling of 102054015 in words is "one hundred two million, fifty-four thousand, fifteen".