106152113400 has 192 divisors, whose sum is σ = 339822595200. Its totient is φ = 27394536960.

The previous prime is 106152113399. The next prime is 106152113407. The reversal of 106152113400 is 4311251601.

It is a happy number.

It is a super-2 number, since 2×106152113400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106152113407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793327 + ... + 2831073.

It is an arithmetic number, because the mean of its divisors is an integer number (1769909350).

Almost surely, 2^106152113400 is an apocalyptic number.

106152113400 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 106152113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169911297600).

106152113400 is an abundant number, since it is smaller than the sum of its proper divisors (233670481800).

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

106152113400 is a wasteful number, since it uses less digits than its factorization.

106152113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37918 (or 37909 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 106152113400 in words is "one hundred six billion, one hundred fifty-two million, one hundred thirteen thousand, four hundred".