106439062500 has 405 divisors, whose sum is σ = 360222960097. Its totient is φ = 27405000000.

The previous prime is 106439062487. The next prime is 106439062507. The reversal of 106439062500 is 5260934601.

It is a happy number.

The square root of 106439062500 is 326250.

It is a perfect power (a square), and thus also a powerful number.

106439062500 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 90 + 62 + 500 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6122436516 + 100316625984 = 78246^2 + 316728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×106439062500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106439062507) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3670312486 + ... + 3670312514.

Almost surely, 2^106439062500 is an apocalyptic number.

106439062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106439062500 is the 326250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106439062500

106439062500 is an abundant number, since it is smaller than the sum of its proper divisors (253783897597).

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

106439062500 is an frugal number, since it uses more digits than its factorization.

106439062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 106439062500 by its sum of digits (36), we get a square (3831806250000 = 1957500²).

106439062500 divided by its sum of digits (36) gives a square (2956640625 = 54375²).

The spelling of 106439062500 in words is "one hundred six billion, four hundred thirty-nine million, sixty-two thousand, five hundred".