106154717592 has 384 divisors, whose sum is σ = 357244992000. Its totient is φ = 25937049600.

The previous prime is 106154717579. The next prime is 106154717593. The reversal of 106154717592 is 295717451601.

It is a super-2 number, since 2×106154717592² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106154717593) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18146284 + ... + 18152132.

It is an arithmetic number, because the mean of its divisors is an integer number (930325500).

Almost surely, 2^106154717592 is an apocalyptic number.

106154717592 is a gapful number since it is divisible by the number (12) 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 106154717592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178622496000).

106154717592 is an abundant number, since it is smaller than the sum of its proper divisors (251090274408).

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

106154717592 is a wasteful number, since it uses less digits than its factorization.

106154717592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 106154717592 in words is "one hundred six billion, one hundred fifty-four million, seven hundred seventeen thousand, five hundred ninety-two".