106146747400 has 72 divisors (see below), whose sum is σ = 247765411530. Its totient is φ = 42291746560.

The previous prime is 106146747397. The next prime is 106146747451. The reversal of 106146747400 is 4747641601.

It can be written as a sum of positive squares in 3 ways, for example, as 84610010884 + 21536736516 = 290878^2 + 146754^2 .

It is a super-2 number, since 2×106146747400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 17 ways as a sum of consecutive naturals, for example, 13829964 + ... + 13837636.

Almost surely, 2^106146747400 is an apocalyptic number.

106146747400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106146747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123882705765).

106146747400 is an abundant number, since it is smaller than the sum of its proper divisors (141618664130).

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

106146747400 is an equidigital number, since it uses as much as digits as its factorization.

106146747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 106146747400 in words is "one hundred six billion, one hundred forty-six million, seven hundred forty-seven thousand, four hundred".