106149637440 has 1344 divisors, whose sum is σ = 495656299008. Its totient is φ = 20171980800.

The previous prime is 106149637439. The next prime is 106149637471. The reversal of 106149637440 is 44736941601.

106149637440 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 9 + 637 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×106149637440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139486660 + ... + 139487420.

Almost surely, 2^106149637440 is an apocalyptic number.

106149637440 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 106149637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247828149504).

106149637440 is an abundant number, since it is smaller than the sum of its proper divisors (389506661568).

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

106149637440 is a wasteful number, since it uses less digits than its factorization.

106149637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106149637440 in words is "one hundred six billion, one hundred forty-nine million, six hundred thirty-seven thousand, four hundred forty".