106513046400 has 192 divisors, whose sum is σ = 351045745920. Its totient is φ = 28385802240.

The previous prime is 106513046383. The next prime is 106513046407. The reversal of 106513046400 is 4640315601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106513046400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106513046407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24410619 + ... + 24414981.

It is an arithmetic number, because the mean of its divisors is an integer number (1828363260).

Almost surely, 2^106513046400 is an apocalyptic number.

106513046400 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 106513046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175522872960).

106513046400 is an abundant number, since it is smaller than the sum of its proper divisors (244532699520).

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

106513046400 is a wasteful number, since it uses less digits than its factorization.

106513046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 106513046400 in words is "one hundred six billion, five hundred thirteen million, forty-six thousand, four hundred".