106512686400 has 336 divisors, whose sum is σ = 359180635968. Its totient is φ = 27617280000.

The previous prime is 106512686377. The next prime is 106512686407. The reversal of 106512686400 is 4686215601.

It is a happy number.

It is a super-2 number, since 2×106512686400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106512686407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73405675 + ... + 73407125.

It is an arithmetic number, because the mean of its divisors is an integer number (1068989988).

Almost surely, 2^106512686400 is an apocalyptic number.

106512686400 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 106512686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179590317984).

106512686400 is an abundant number, since it is smaller than the sum of its proper divisors (252667949568).

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

106512686400 is a wasteful number, since it uses less digits than its factorization.

106512686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 106512686400 in words is "one hundred six billion, five hundred twelve million, six hundred eighty-six thousand, four hundred".