101506010500 has 24 divisors (see below), whose sum is σ = 221689128024. Its totient is φ = 40602404000.

The previous prime is 101506010467. The next prime is 101506010513. The reversal of 101506010500 is 5010605101.

It can be written as a sum of positive squares in 4 ways, for example, as 910470276 + 100595540224 = 30174^2 + 317168^2 .

It is a super-2 number, since 2×101506010500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101505511 + ... + 101506510.

It is an arithmetic number, because the mean of its divisors is an integer number (9237047001).

Almost surely, 2^101506010500 is an apocalyptic number.

101506010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101506010500 is an abundant number, since it is smaller than the sum of its proper divisors (120183117524).

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

101506010500 is a wasteful number, since it uses less digits than its factorization.

101506010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203012040 (or 203012028 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 101506010500 its reverse (5010605101), we get a palindrome (106516615601).

The spelling of 101506010500 in words is "one hundred one billion, five hundred six million, ten thousand, five hundred".