106020131400 has 144 divisors (see below), whose sum is σ = 368328741300. Its totient is φ = 27297123840.

The previous prime is 106020131353. The next prime is 106020131411. The reversal of 106020131400 is 4131020601.

It is a happy number.

106020131400 is a `hidden beast` number, since 1 + 0 + 60 + 201 + 3 + 1 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8342630244 + 97677501156 = 91338^2 + 312534^2 .

It is a super-2 number, since 2×106020131400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 963319 + ... + 1067718.

Almost surely, 2^106020131400 is an apocalyptic number.

106020131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106020131400 is an abundant number, since it is smaller than the sum of its proper divisors (262308609900).

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

106020131400 is a wasteful number, since it uses less digits than its factorization.

106020131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031088 (or 2031076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 106020131400 in words is "one hundred six billion, twenty million, one hundred thirty-one thousand, four hundred".