106897179480 has 256 divisors, whose sum is σ = 404325734400. Its totient is φ = 22003937280.

The previous prime is 106897179437. The next prime is 106897179509. The reversal of 106897179480 is 84971798601.

106897179480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106897179480² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328341 + ... + 567099.

It is an arithmetic number, because the mean of its divisors is an integer number (1579397400).

Almost surely, 2^106897179480 is an apocalyptic number.

106897179480 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 106897179480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202162867200).

106897179480 is an abundant number, since it is smaller than the sum of its proper divisors (297428554920).

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

106897179480 is a wasteful number, since it uses less digits than its factorization.

106897179480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238834 (or 238830 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 106897179480 in words is "one hundred six billion, eight hundred ninety-seven million, one hundred seventy-nine thousand, four hundred eighty".