102115845 has 48 divisors (see below), whose sum is σ = 191908080. Its totient is φ = 49932288.

The previous prime is 102115807. The next prime is 102115879. The reversal of 102115845 is 548511201.

It can be written as a sum of positive squares in 8 ways, for example, as 1595169 + 100520676 = 1263^2 + 10026^2 .

It is not a de Polignac number, because 102115845 - 2¹¹ = 102113797 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100701 + ... + 101709.

It is an arithmetic number, because the mean of its divisors is an integer number (3998085).

Almost surely, 2^102115845 is an apocalyptic number.

102115845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102115845 is a deficient number, since it is larger than the sum of its proper divisors (89792235).

102115845 is a wasteful number, since it uses less digits than its factorization.

102115845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 102115845 is about 10105.2384929798. The cubic root of 102115845 is about 467.4096902013.

The spelling of 102115845 in words is "one hundred two million, one hundred fifteen thousand, eight hundred forty-five".