102140020 has 24 divisors (see below), whose sum is σ = 219727368. Its totient is φ = 39859200.

The previous prime is 102140011. The next prime is 102140041. The reversal of 102140020 is 20041201.

It can be written as a sum of positive squares in 4 ways, for example, as 10784656 + 91355364 = 3284^2 + 9558^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102139979 and 102140006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61461 + ... + 63100.

It is an arithmetic number, because the mean of its divisors is an integer number (9155307).

Almost surely, 2^102140020 is an apocalyptic number.

102140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102140020 is an abundant number, since it is smaller than the sum of its proper divisors (117587348).

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

102140020 is a wasteful number, since it uses less digits than its factorization.

102140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124611 (or 124609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102140020 is about 10106.4345839668. The cubic root of 102140020 is about 467.4465722923.

Adding to 102140020 its reverse (20041201), we get a palindrome (122181221).

It can be divided in two parts, 1021 and 40020, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 102140020 in words is "one hundred two million, one hundred forty thousand, twenty".