101948039760 has 240 divisors, whose sum is σ = 374575954176. Its totient is φ = 22862601216.

The previous prime is 101948039749. The next prime is 101948039771. The reversal of 101948039760 is 67930849101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101948039749) and next prime (101948039771).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541497 + ... + 705063.

Almost surely, 2^101948039760 is an apocalyptic number.

101948039760 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 101948039760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187287977088).

101948039760 is an abundant number, since it is smaller than the sum of its proper divisors (272627914416).

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

101948039760 is a wasteful number, since it uses less digits than its factorization.

101948039760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163650 (or 163637 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

It can be divided in two parts, 1019480 and 39760, that added together give a triangular number (1059240 = T₁₄₅₅).

The spelling of 101948039760 in words is "one hundred one billion, nine hundred forty-eight million, thirty-nine thousand, seven hundred sixty".