106432736940 has 96 divisors (see below), whose sum is σ = 331737040320. Its totient is φ = 28329523200.

The previous prime is 106432736939. The next prime is 106432736953. The reversal of 106432736940 is 49637234601.

106432736940 is a `hidden beast` number, since 106 + 432 + 73 + 6 + 9 + 40 = 666.

It is a super-2 number, since 2×106432736940² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109980 + ... + 474300.

It is an arithmetic number, because the mean of its divisors is an integer number (3455594170).

Almost surely, 2^106432736940 is an apocalyptic number.

106432736940 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 106432736940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165868520160).

106432736940 is an abundant number, since it is smaller than the sum of its proper divisors (225304303380).

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

106432736940 is a wasteful number, since it uses less digits than its factorization.

106432736940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364880 (or 364872 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 106432736940 in words is "one hundred six billion, four hundred thirty-two million, seven hundred thirty-six thousand, nine hundred forty".